You can learn a lot of interesting information from going on a tour of a medical facility. Check to see if University Hospital of Santa Chiara is open to visitors while you're in town.
When you've finished at this health care institution in Pisa City Centre, why not check out Cathedral of Pisa, Pisa Baptistry, and Church of Santa Maria della Spina? They're not very far from Pisan University Hospital and also a favorite with many travelers.